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Tidally distorted rotating stars and gaseous planets are subject to a well-known linear fluid instability -- the elliptical instability. It has been proposed that this instability might drive enough energy dissipation to solve the…

Earth and Planetary Astrophysics · Physics 2015-06-17 Adrian J. Barker , Yoram Lithwick

I present results from the first global hydrodynamical simulations of the elliptical instability in a tidally deformed gaseous planet (or star) with a free surface. The elliptical instability is potentially important for tidal evolution of…

Earth and Planetary Astrophysics · Physics 2016-04-20 Adrian J. Barker

I discuss two related nonlinear mechanisms of tidal dissipation that require finite tidal deformations for their operation: the elliptical instability and the precessional instability. Both are likely to be important for the tidal evolution…

Earth and Planetary Astrophysics · Physics 2017-03-24 Adrian J. Barker

Tidal dissipation in star-planet systems can occur through various mechanisms, among which is the elliptical instability. This acts on elliptically deformed equilibrium tidal flows in rotating fluid planets and stars, and excites inertial…

Earth and Planetary Astrophysics · Physics 2023-07-12 Nils B. de Vries , Adrian J. Barker , Rainer Hollerbach

Several studies have already considered the influence of tides on the evolution of systems composed of a star and a close-in companion to tentatively explain different observations such as the spin-up of some stars with hot Jupiters, the…

Solar and Stellar Astrophysics · Physics 2015-06-17 David Cébron , Michael Le Bars , Patrice Le Gal , Claire Moutou , J. Leconte , Alban Sauret

It is usually believed that the geo-dynamo of the Earth or more generally of other planets, is created by the convective fluid motions inside their molten cores. An alternative to this thermal or compositional convection can however be…

Fluid Dynamics · Physics 2016-08-16 P. Le Gal , L. Lacaze , S. Le Dizès

A new element is proposed to play a role in the evolution of extrasolar planetary systems: the tidal (or elliptical) instability. It comes from a parametric resonance and takes place in any rotating fluid whose streamlines are (even…

Solar and Stellar Astrophysics · Physics 2011-01-25 David Cébron , Claire Moutou , Michael Le Bars , Patrice Le Gal , R. Fares

We revisit the global modes and instabilities of homogeneous rotating ellipsoidal fluid masses, which are the simplest global models of rotationally and tidally deformed gaseous planets or stars. The tidal flow in a short-period planet may…

Earth and Planetary Astrophysics · Physics 2016-04-20 Adrian J. Barker , Harry J. Braviner , Gordon I. Ogilvie

The spin axis of a rotationally deformed planet is forced to precess about its orbital angular momentum vector, due to the tidal gravity of its host star, if these directions are misaligned. This induces internal fluid motions inside the…

Earth and Planetary Astrophysics · Physics 2016-07-27 Adrian J. Barker

Tidal interactions influence the orbital motions of binary star systems and extrasolar planets alike. Tides also affect stellar and planetary rotation rates. We demonstrate that in addition to altering spin synchronization and…

Solar and Stellar Astrophysics · Physics 2026-01-13 Janosz W. Dewberry

Elliptical instability is due to a parametric resonance of two inertial modes in a fluid velocity field with elliptical streamlines. This flow is a simple model of the motion in a tidally deformed, rotating body. Elliptical instability…

Earth and Planetary Astrophysics · Physics 2015-06-18 N. Clausen , A. Tilgner

The presence of celestial companions means that any planet may be subject to three kinds of harmonic mechanical forcing: tides, precession/nutation, and libration. These forcings can generate flows in internal fluid layers, such as fluid…

Earth and Planetary Astrophysics · Physics 2012-03-12 David Cébron , Michael Le Bars , Claire Moutou , Patrice Le Gal

Large-scale planetary or stellar magnetic fields generated by a dynamo effect are mostly attributed to flows forced by buoyancy forces in electrically conducting fluid layers. However, these large-scale fields may also be controlled by…

Solar and Stellar Astrophysics · Physics 2015-06-22 David Cébron , Rainer Hollerbach

The energy dissipation of wave-like tidal flows in the convective envelope of low-mass stars is one of the key physical mechanisms that shape the orbital and rotational dynamics of short-period planetary systems. Tidal flows, and the…

We consider the stability of a configuration consisting of a vertical magnetic field in a planar flow on elliptical streamlines in ideal hydromagnetics. In the absence of a magnetic field the elliptical flow is universally unstable (the…

Astrophysics · Physics 2009-11-10 Norman R. Lebovitz , Ellen G. Zweibel

We study tidal dissipation in stars with masses in the range $0.1-1.6 M_\odot$ throughout their evolution, including turbulent effective viscosity acting on equilibrium tides and inertial waves in convection zones, and internal gravity…

Earth and Planetary Astrophysics · Physics 2020-09-09 Adrian J. Barker

The elliptical instability can take place in planetary cores and stars elliptically deformed by gravitational effects, where it generates large-scale three-dimensional flows assumed to be dynamo capable. In this work, we present the first…

Classical Physics · Physics 2013-09-10 David Cébron , Michael Le Bars , Pierre Maubert , Patrice Le Gal

We investigate the possibility of substantial inflation of short-period Jupiter-mass planets, as a result of their internal tidal dissipation associated with the synchronization and circularization of their orbits. We employ the simplest…

Astrophysics · Physics 2009-11-07 Pin-Gao Gu , Doug Lin , Peter Bodenheimer

In close exoplanetary systems, tidal interactions drive orbital and spin evolution of planets and stars over long timescales. Tidally-forced inertial waves (restored by the Coriolis acceleration) in the convective envelopes of low-mass…

Solar and Stellar Astrophysics · Physics 2022-08-17 A. Astoul , A. J. Barker

Gravitational tidal interactions drive long-term rotational and orbital evolution in planetary systems, in multiple (particularly close binary) star systems and in planetary moon systems. Dissipation of tidal flows in Earth's oceans is…

Earth and Planetary Astrophysics · Physics 2025-04-16 Adrian J. Barker
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